SOLUTION: Explain why a^2+b^2 cannot be factored.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Explain why a^2+b^2 cannot be factored.      Log On


   

Question 134112: Explain why a^2+b^2 cannot be factored.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
In the most general terms, a%5E2%2Bb%5E2 CAN be factored. And the factors are: %28a%2Bbi%29%28a-bi%29 where i is the imaginary number defined by i%5E2=-1. On the other hand, a%5E2%2Bb%5E2 cannot be factored over the real numbers because there is no real number x such that x%5E2=-1.